Fluctuations of the total number of critical points of random spherical harmonics
classification
🧮 math.PR
keywords
criticaldegreefluctuationsharmonicsnumberpointsrandomspherical
read the original abstract
We determine the asymptotic law for the fluctuations of the total number of critical points of random Gaussian spherical harmonics in the high degree limit. Our results have implications on the sophistication degree of an appropriate percolation process for modelling nodal domains of eigenfunctions on generic compact surfaces or billiards.
This paper has not been read by Pith yet.
discussion (0)
Sign in with ORCID, Apple, or X to comment. Anyone can read and Pith papers without signing in.